Answer:
![a_n=1.2 \cdot 2.5^{n-1}](https://tex.z-dn.net/?f=a_n%3D1.2%20%5Ccdot%202.5%5E%7Bn-1%7D)
Step-by-step explanation:
The first step is to realize that this is a geometric sequence, where each next term in the sequence is 2.5 times larger than the previous. You can confirm this by the fact that 3=1.2*2.5, 7.5=3*2.5, and 18.75=7.5*2.5. Now, you can write the formula, where n is where the number is in the sequence, and a is the number itself. Since 1.2 is the first term in the sequence and the rate of expansion is 2.5, the formula is:
![a_n=1.2 \cdot 2.5^{n-1}](https://tex.z-dn.net/?f=a_n%3D1.2%20%5Ccdot%202.5%5E%7Bn-1%7D)
Hope this helps!
Answer:
Step-by-step explanation:
1) y - 6 = -12(x + 4)
y = -12x - 48 + 6 = -12x - 42
Answer is (C)
2) y + 4 = -5(x - 3)
Only the point (3,-4) would be located on this line
Answer is (C)
Answer: - 3/2 < x < 3/2
Step-by-step explanation:
Step1) divide 1st term by the 1st term
so, 5x divide by 5x^3 which is x^2
step2) distribute to ALL terms
then multiply 4 (your 2nd term) by the x^2 (quotient)
step3) subtract
so the 5x^3 you get from 5x and x^2 is positive... you subtract it from the 5x^3 inside. And your result from distribution should be 4x^2 which you subtract
step4) repeat
and u continue that all the way through!
March 1st, 2015 to September 1st, 2017 = 3 months = 2.5 years
Answer: $2,919.38
(I = A - P = $219.38)
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 3.25%/100 = 0.0325 per year.
Solving our equation:
A = 2700(1 + (0.0325 × 2.5)) = 2919.375
A = $2,919.38
The total amount accrued, principal plus interest, from simple interest on a principal of $2,700.00 at a rate of 3.25% per year for 2.5 years is $2,919.38.